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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,318 prompts matching "IGCSE Additional Maths Y10: The altitude of a triangle drawn from one vertex — C"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Scalar (dot) and vector (cross) product practice #2

I am in SS 3. Give me a vector problem where a = i - 2j + 3k and b = 2i + j - k, find a .

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Scalar (dot) and vector (cross) product practice #3

I am in SS 3. Give me a vector problem where a = 3i - j + 2k and b = i + 2j - k, find a x

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Scalar (dot) and vector (cross) product practice #4

I am in SS 3. Give me a vector problem where a = 2i + j and b = -i + 4j, find the angle be

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Position vectors and displacement between points #1

I am in SS 3. Give me a vectors problem where I have points A(2,3) and B(5,-1), find vecto

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Position vectors and displacement between points #2

I am in SS 3. Give me a vectors problem where I have points A(1,2,3) and B(4,0,-2), find v

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Position vectors and displacement between points #4

I am in SS 3. Give me a vectors problem where I have a point dividing a line AB in a given

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Teach me 3D vectors from scratch

I am in SS 3. Teach me how vectors work in three dimensions using i, j, k notation, as if

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Quiz me on unit vectors

I am in SS 3. Quiz me on finding unit vectors from given vectors in 2D and 3D, and check w

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WAEC past-question practice: vectors #4

I am in SS 3. Test me with a timed WAEC-style vectors question, give it to me cold, then m

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Complex number arithmetic practice #1

I am in SS 3. Give me a complex number problem where z1 = 3 + 2i and z2 = 1 - 4i, find z1

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Complex number arithmetic practice #2

I am in SS 3. Give me a complex number problem where z1 = 2 - i and z2 = 4 + 3i, find z1 x

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Complex number arithmetic practice #3

I am in SS 3. Give me a complex number problem where z = 5 + 2i, find z divided by (1 - i)

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Complex number arithmetic practice #5

I am in SS 3. Give me a complex number problem where z1 = -2 + 3i and z2 = 1 + i, find z1

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Solve a quadratic equation with complex roots #1

I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 + 4 = 0 for c

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Solve a quadratic equation with complex roots #2

I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 - 2x + 5 = 0

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Solve a quadratic equation with complex roots #3

I am in SS 3. Give me a quadratic equation problem where I need to solve 2x^2 + x + 3 = 0

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Explain equal complex numbers

I am in SS 3. Explain the condition for two complex numbers to be equal (real parts equal

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WAEC past-question practice: complex numbers #4

I am in SS 3. Test me with a timed WAEC-style complex numbers question, give it to me cold

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Differentiation practice question #1

I am in SS 3. Give me a differentiation problem where y = x^3 - 4x^2 + 2x, find dy/dx. Let

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Differentiation practice question #2

I am in SS 3. Give me a differentiation problem where y = (2x+1)(x-3), find dy/dx using th

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